The present paper follows the computational approach to 3-manifold classification via edge-coloured graphs, already performed in  (with respect to orientable 3-manifolds up to 28 coloured tetrahedra), in  (with respect to non-orientable3-manifolds up to 26 coloured tetrahedra), in  and  (with respect to genus two 3-manifolds up to 34 coloured tetrahedra): in fact, by automatic generation and analysis of suitable edge-coloured graphs, called crystallizations, we obtain a catalogue of all orientable 3-manifolds admitting coloured triangulations with 30 tetrahedra. These manifolds are unambiguously identified via JSJ decompositions and fibering structures. It is worth noting that, in the present work, a suitable use of elementary combinatorial moves yields an automatic partition of the elements of the generated crystallization catalogue into equivalence classes, which turn out to be in one-to one correspondence with the homeomorphism classes of the represented manifolds.
|Data di pubblicazione:||2008|
|Titolo:||A catalogue of orientable 3-manifolds triangulated by 30 coloured tetrahedra|
|Autori:||Casali, Maria Rita; Cristofori, Paola|
|Digital Object Identifier (DOI):||10.1142/S0218216508006312|
|Appare nelle tipologie:||Articolo su rivista|
I documenti presenti in Iris Unimore sono rilasciati con licenza Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia, salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris